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Finding the Third Proportional to 65,975,040 and 136,475,712

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Solution

The third proportional to 65,975,040 and 136,475,712 is: 282,313,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975,040 : 136,475,712 = 136,475,712 : x
  2. Step 2: Convert to fraction form
    65,975,040/136,475,712 = 136,475,712/x
  3. Step 3: Cross multiply
    65,975,040x = 136,475,712 × 136,475,712
  4. Step 4: Simplify right side
    65,975,040x = 18,625,619,965,906,944
  5. Step 5: Solve for x
    x = 18,625,619,965,906,944/65,975,040
  6. Step 6: Final answer
    x = 282,313,128.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.